The “Hot Spots” Conjecture on Homogeneous Hierarchical Gaskets

来源 :分析理论与应用:英文刊 | 被引量 : 0次 | 上传用户：chaoyue0130

【摘要】

：

In this paper, using spectral decimation, we prove that the “hot spots” conjecture holds on a class of homogeneous hierarchical gaskets introduced by Hambly,i

【作者】

：

Xiaofen Qiu

【机构】

：

DivisionofFundamentalEducation,SchoolofMathematicalScience

【出处】

：

分析理论与应用:英文刊

【发表日期】

：

2018年4期

【关键词】

：

NEUMANN Laplacian "hot spots"conjecture HOMOGENEOUS HIERARCHICAL GASKE

【基金项目】

：

in part by NSFC grants Nos. 11271327, 11771391.

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In this paper, using spectral decimation, we prove that the “hot spots” conjecture holds on a class of homogeneous hierarchical gaskets introduced by Hambly,i.e., every eigenfunction of the second-smallest eigenvalue of the Neumann Laplacian(introduced by

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